SOLUTION: A grain barge travels on a river from point A to point B loading and unloading grain. A grain barge travels on a river from point A to point B loading and unloading grain. The barg
Algebra.Com
Question 457504: A grain barge travels on a river from point A to point B loading and unloading grain. A grain barge travels on a river from point A to point B loading and unloading grain. The barge travels at a rate of 4 mph relative to the water. The river flows downstream at a rate of 1 mph. If the trip upstream takes 2 hours longer than the trip downstream, how far is it from point A to point B?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A grain barge travels on a river from point A to point B loading and unloading grain.
The barge travels at a rate of 4 mph relative to the water. The river flows downstream at a rate of 1 mph.
If the trip upstream takes 2 hours longer than the trip downstream,
----------------------
How far is it from point A to point B?
----------------------
Downstream DATA:
time = x hrs ; rate = 4+1 mph ; distance = t*r = 5x miles
----
Upstream DATA:
time = x+2 hrs ; rate = 4-1 mph; distance = t*r = 3(x+2)
----
Equation:
distance = distance
5x = 3(x+2)
5x = 3x+6
2x = 6
x = 3 hrs
----
Distance = 5x = 15 miles from A to B
========================================
Cheers,
Stan H.
RELATED QUESTIONS
A grain barge travels on a river from point A to point B loading and unloading grain.... (answered by ikleyn)
. A grain barge travels on a river from point A to point B loading and unloading grain.... (answered by ikleyn)
A grain barge travels on a river from point A to point B loading and unloading grain. The (answered by ankor@dixie-net.com,ikleyn)
a grain barge travels on a river from point a to point b loading and unloading grIn. the... (answered by ankor@dixie-net.com)
a speedy river barge bound for New Orleans leaves Baton Rouge at 9:00 AM and travels at a (answered by Theo)
A logging barge on the Mississippi River travels 24 miles upstream in 3 hours. The return (answered by pmatei)
A barge on the Sacramento River travels 24 miles upstream in 3 hours. The return trip... (answered by richwmiller)
A logging barge on the Mississippi River travels 24 miles upstream in 3 hours. The return (answered by mananth)
Traveling upstream on the Mississippi River, a barge travels 56 miles in 7 hours.... (answered by checkley77)